Large Solutions for Semilinear Parabolic Equations Involving Some Special Classes of Nonlinearities

被引：8

作者：

Niculescu, Constantin P. ^{[1
]}

Roventa, Ionel ^{[1
]}

机构：

[1] Univ Craiova, Dept Math, Craiova 200585, Romania

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2010年 / 2010卷

关键词：

NEUMANN BOUNDARY-CONDITIONS; BLOW-UP; HEAT-EQUATIONS;

D O I：

10.1155/2010/491023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a new class of nonlinearities for which a nonlocal parabolic equation with Neumann boundary conditions has finite time blow-up solutions. Our approach is inspired by previous work done by Jazar and Kiwan (2008) and El Soufi et al. (2007).

引用

页数：11

共 21 条

[1]

[Anonymous], PURE APPL MATH

[2]

Bebernes J., 1989, MATH PROBLEMS COMBUS

[3]

Bingham N. H., 1989, Encyclopedia of Mathematics and its Applications

[4] BLOW-UP OF SOLUTIONS OF NONLINEAR HEAT-EQUATIONS [J].

CAFFARRELLI, LA ;

FRIEDMAN, A .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 129 (02) :409-419

[5] DIFFUSIVE LOGISTIC EQUATIONS WITH INDEFINITE WEIGHTS - POPULATION-MODELS IN DISRUPTED ENVIRONMENTS .2. [J].

CANTRELL, RS ;

COSNER, C .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1991, 22 (04) :1043-1064

[6] Blow-up for a system of heat equations with nonlocal sources and absorptions [J].

Chen, YP .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 48 (3-4) :361-372

[7]

Cîrstea FC, 2006, ASYMPTOTIC ANAL, V46, P275

[8]

Dumont S, 2007, ADV NONLINEAR STUD, V7, P271

[9] A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions [J].

El Soufi, A. ;

Jazar, M. ;

Monneau, R. .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2007, 24 (01) :17-39

[10] LOCAL VS NON-LOCAL INTERACTIONS IN POPULATION-DYNAMICS [J].

FURTER, J ;

GRINFELD, M .

JOURNAL OF MATHEMATICAL BIOLOGY, 1989, 27 (01) :65-80

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